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Finding the Fourth Proportional to 413,933.28, 620,882.64 and 118,445.28

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Solution

The fourth proportional to 413,933.28, 620,882.64 and 118,445.28 is: 177,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,933.28 : 620,882.64 = 118,445.28 : x
  2. Step 2: Convert to fraction form
    413,933.28/620,882.64 = 118,445.28/x
  3. Step 3: Cross multiply
    413,933.28x = 620,882.64 × 118,445.28
  4. Step 4: Simplify right side
    413,933.28x = 73,540,618,141.94
  5. Step 5: Solve for x
    x = 73,540,618,141.94/413,933.28
  6. Step 6: Final answer
    x = 177,662.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.